Super-resolving sparse observations in partial differential equations: A physics-constrained convolutional neural network approach.
Daniel KelshawLuca MagriPublished in: CoRR (2023)
Keyphrases
- partial differential equations
- convolutional neural network
- image denoising
- anisotropic diffusion
- numerical solution
- face detection
- level set
- image processing
- numerical methods
- image enhancement
- differential equations
- mathematical morphology
- diffusion equation
- energy functional
- high order
- problems in image processing
- multiscale
- fourth order
- curve evolution
- finite difference method
- finite difference
- numerical scheme
- conservation laws
- neural network
- difference equations
- numerical algorithms
- boundary value problem
- pairwise
- lattice boltzmann
- pattern recognition
- feature extraction
- machine learning